Answer:
the domain of the function f(x) is
![x\ge 7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ad55v8wj5c09wbgeiowrl1ccm4fd437nj.png)
the range of the function f(x) is
![f(x)\ge 9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tb4vgirqdxo4elkvxnum28if4uhjzgrks4.png)
Explanation:
Consider the parent function
![y=√(x).](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l44ffou0wsemtxynnovaf1sw8p29t5usi6.png)
The domain og this function is
the range of this function is
![y\ge 0.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n0u46drc5bast590d3gb189h10o89eq33n.png)
The function
is translated function
7 units to the right and 9 units up, so
the domain of the function f(x) is
![x\ge 7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ad55v8wj5c09wbgeiowrl1ccm4fd437nj.png)
the range of the function f(x) is
![f(x)\ge 9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tb4vgirqdxo4elkvxnum28if4uhjzgrks4.png)